Chaos in a 1-Dimensional Compressible Flow
We study the dynamics of a one-dimensional discrete flow with open boundaries—a series of moving point particles connected by ideal springs. These particles flow towards an inlet at constant velocity, pass into a region where they are free to move according to their nearest neighbor interactions, an...
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| Format: | Journal article |
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2007
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| _version_ | 1797099719807205376 |
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| author | Gerig, A Hübler, A |
| author_facet | Gerig, A Hübler, A |
| author_sort | Gerig, A |
| collection | OXFORD |
| description | We study the dynamics of a one-dimensional discrete flow with open boundaries—a series of moving point particles connected by ideal springs. These particles flow towards an inlet at constant velocity, pass into a region where they are free to move according to their nearest neighbor interactions, and then pass an outlet where they travel with a sinusoidally varying velocity. As the amplitude of the outlet oscillations is increased, we find that the resident time of particles in the chamber follows a bifurcating (Feigenbaum) route to chaos. This irregular dynamics may be related to the complex behavior of many particle discrete flows or is possibly a low-dimensional analogue of nonstationary flow in continuous systems. |
| first_indexed | 2024-03-07T05:27:36Z |
| format | Journal article |
| id | oxford-uuid:e11b957a-d8cf-4b46-be21-cc5ab0c84346 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:27:36Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:e11b957a-d8cf-4b46-be21-cc5ab0c843462022-03-27T09:52:01ZChaos in a 1-Dimensional Compressible FlowJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e11b957a-d8cf-4b46-be21-cc5ab0c84346Saïd Business School - Eureka2007Gerig, AHübler, AWe study the dynamics of a one-dimensional discrete flow with open boundaries—a series of moving point particles connected by ideal springs. These particles flow towards an inlet at constant velocity, pass into a region where they are free to move according to their nearest neighbor interactions, and then pass an outlet where they travel with a sinusoidally varying velocity. As the amplitude of the outlet oscillations is increased, we find that the resident time of particles in the chamber follows a bifurcating (Feigenbaum) route to chaos. This irregular dynamics may be related to the complex behavior of many particle discrete flows or is possibly a low-dimensional analogue of nonstationary flow in continuous systems. |
| spellingShingle | Gerig, A Hübler, A Chaos in a 1-Dimensional Compressible Flow |
| title | Chaos in a 1-Dimensional Compressible Flow |
| title_full | Chaos in a 1-Dimensional Compressible Flow |
| title_fullStr | Chaos in a 1-Dimensional Compressible Flow |
| title_full_unstemmed | Chaos in a 1-Dimensional Compressible Flow |
| title_short | Chaos in a 1-Dimensional Compressible Flow |
| title_sort | chaos in a 1 dimensional compressible flow |
| work_keys_str_mv | AT geriga chaosina1dimensionalcompressibleflow AT hublera chaosina1dimensionalcompressibleflow |